I'm interested in geometric analysis and partial differential equations. My recent research concentrates on geometric variational problems (specifically on energies depending on iterated covariant derivatives of the second fundamental form) and uniform estimates for elliptic operators with critical Sobolev coefficients.
See also this link for my papers on arXiv.
Uniform estimates for elliptic systems with critical Sobolev coefficients, 2026.
Regularity of critical immersions for scale-invariant curvature energies in even dimensions, 2026.
The regularity of critical points to scale-invariant curvature energies in dimension 4, with Yann Bernard, Dorian Martino, and Tristan Rivière, 2026.
The analysis of Willmore surfaces and its generalizations in higher dimensions, with Dorian Martino and Tristan Rivière, J. Math. Study 59 (2026), no. 1, 80–188. (Survey article; special issue in honor of Gang Tian.)
Sobolev orthogonal polynomials on the Sierpinski gasket, with Qingxuan Jiang, Kasso A. Okoudjou, Robert S. Strichartz, Shashank Sule, Sreeram Venkat and Xiaoduo Wang, J. Fourier Anal. Appl. 27 (2021), no. 3, Paper No. 38, 38 pp.
December 2025, Analysis seminar, ETH Zürich.
The regularity of scale-invariant Lagrangians depending on the first and second fundamental forms. [PDF, 492KB]
March 2026, Workshop on bubbling phenomena in geometric analysis, ETH Zürich.
Bubbling phenomena for the Willmore energy. [PDF, 786KB]